A bag contains green marbles and blue marbles, 24 in total. The number of green marbles is 9 less than 2 times the number of blue marbles. How many green marbles are there?
A bag contains white marbles and yellow marbles, 24 in total. The number of white marbles is 9 less than 2 times the number of yellow marbles. How many white marbles are there?
To find the number of green marbles, we can set up an equation based on the given information.
Let's say the number of blue marbles is represented by 'x'.
According to the problem, the number of green marbles is 9 less than 2 times the number of blue marbles. So, we can express the number of green marbles as '2x - 9'.
Now, we know that the total number of marbles, both green and blue, is 24.
Therefore, we can write the equation:
Number of green marbles + Number of blue marbles = Total number of marbles
Plugging in the values from above, we get:
(2x - 9) + x = 24
Simplifying the equation, we have:
3x - 9 = 24
Add 9 to both sides:
3x = 33
Divide both sides by 3:
x = 11
So, the number of blue marbles is 11.
To find the number of green marbles, substitute the value of x back into the equation for the number of green marbles:
Number of green marbles = 2x - 9 = 2(11) - 9 = 13
Therefore, there are 13 green marbles in the bag.
A bag contains green marbles and blue marbles, 24 in total. The number of green marbles is 3 less than 2 times the number of blue marbles. How many green marbles are there?
b + g = 24
g = 2b - 9
solve the system by substitution or elimination